10722768 has 120 divisors (see below), whose sum is σ = 33247872. Its totient is φ = 2967552.

The previous prime is 10722739. The next prime is 10722769. The reversal of 10722768 is 86722701.

10722768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10722768² = 229955507163648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10722769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110496 + ... + 110592.

Almost surely, 2^10722768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10722768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936).

10722768 is an abundant number, since it is smaller than the sum of its proper divisors (22525104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10722768 is a wasteful number, since it uses less digits than its factorization.

10722768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 10722768 is about 3274.5637877433. The cubic root of 10722768 is about 220.5137305635.

Adding to 10722768 its product of nonzero digits (9408), we get a square (10732176 = 3276²).

The spelling of 10722768 in words is "ten million, seven hundred twenty-two thousand, seven hundred sixty-eight".